NUMERICAL ANALYSIS OF A BDF2 FINITE ELEMENT SCHEME FOR NAVIER-STOKES-ALPHA MODEL

Hongjian Wang; Shengkun Li

doi:10.11948/20250384

2027 Volume 17 Issue 1

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Hongjian Wang, Shengkun Li. NUMERICAL ANALYSIS OF A BDF2 FINITE ELEMENT SCHEME FOR NAVIER-STOKES-ALPHA MODEL[J]. Journal of Applied Analysis & Computation, 2027, 17(1): 87-104. doi: 10.11948/20250384

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Hongjian Wang, Shengkun Li. NUMERICAL ANALYSIS OF A BDF2 FINITE ELEMENT SCHEME FOR NAVIER-STOKES-ALPHA MODEL[J]. Journal of Applied Analysis & Computation, 2027, 17(1): 87-104. doi: 10.11948/20250384

NUMERICAL ANALYSIS OF A BDF2 FINITE ELEMENT SCHEME FOR NAVIER-STOKES-ALPHA MODEL

Hongjian Wang^1,,
Shengkun Li^1, ,

1.
College of Applied Mathematics, Chengdu University of Information Technology, Chengdu, Sichuan 610225, China

Author Bio: Email: wanghongjian992@gmail.com(H. Wang)
Corresponding author: Email: lishengkun@cuit.edu.cn(S. Li)

Abstract

Abstract

In this paper, we study a second-order backward difference formula (BDF2) scheme for the Navier-Stokes-alpha model. We combine a stabilized finite element discretization in space with the BDF2 method in time to obtain a fully discrete approximation. A complete numerical analysis is presented, establishing unconditional stability and deriving optimal-order error estimates for the scheme. Numerical experiments are provided to verify the theoretical results and to illustrate the effectiveness of the proposed approach.
- Navier-Stokes-alpha model /
- BDF2 scheme /
- error analysis
MSC: 65M06, 65M60

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